6. Consider a control system given by1,2+3 u,1 3133.with r(0) = (1,0,0). Find a control input u : [0, +o0)-+ R that minimizesI (1)||? + u?(t)dt.If you are using any computational tools, you may express any relevant values or matrices rounded tothree decimals.

Answered: 6. Consider a control system given by 1…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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6. Consider a control system given by 1 2 2 2 1 3 3 () u, ra, with r(0) (1,0,0). Find a control input u : [0, +o0) R that minimizes If you are using any computational tools, you may express any relevant values or matrices rounded to three decimals.